Two-dimensional Gibbsian point processes with continuous spin symmetries

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:115

Article

Richthammer, T

关键词: Gibbsian point processes;    Mermin-Wagner theorem;    continuous symmetries;    Stochastic domination;    percolation;    superstability;   

DOI  :  10.1016/j.spa.2004.12.001

来源: Elsevier

【 摘 要 】

The conservation of continuous symmetries in two-dimensional systems with interaction is a classical subject of statistical mechanics. So far, all results of this sort required some smoothness properties of the interaction. Only recently Ioffe et al. (Comm. Math. Phys. 226 (2002) 433) succeeded to treat the case of lattice systems with continuous, rather than smooth, interaction. Here we establish a similar result for Gibbsian systems of point particles with internal degrees of freedom. (c) 2004 Elsevier B.V. All rights reserved.

【 授权许可】

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